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Finding the Third Proportional to 347,926 and 741,414

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Solution

The third proportional to 347,926 and 741,414 is: 1,579,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,926 : 741,414 = 741,414 : x
  2. Step 2: Convert to fraction form
    347,926/741,414 = 741,414/x
  3. Step 3: Cross multiply
    347,926x = 741,414 × 741,414
  4. Step 4: Simplify right side
    347,926x = 549,694,719,396
  5. Step 5: Solve for x
    x = 549,694,719,396/347,926
  6. Step 6: Final answer
    x = 1,579,918.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.